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Finding the Third Proportional to 353,781,990 and 765,513,324

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Solution

The third proportional to 353,781,990 and 765,513,324 is: 1,656,417,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,781,990 : 765,513,324 = 765,513,324 : x
  2. Step 2: Convert to fraction form
    353,781,990/765,513,324 = 765,513,324/x
  3. Step 3: Cross multiply
    353,781,990x = 765,513,324 × 765,513,324
  4. Step 4: Simplify right side
    353,781,990x = 586,010,649,221,528,960
  5. Step 5: Solve for x
    x = 586,010,649,221,528,960/353,781,990
  6. Step 6: Final answer
    x = 1,656,417,414.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.